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Finding the Fourth Proportional to 32,472.19, 48,618.37 and 17,647.57

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Solution

The fourth proportional to 32,472.19, 48,618.37 and 17,647.57 is: 26,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472.19 : 48,618.37 = 17,647.57 : x
  2. Step 2: Convert to fraction form
    32,472.19/48,618.37 = 17,647.57/x
  3. Step 3: Cross multiply
    32,472.19x = 48,618.37 × 17,647.57
  4. Step 4: Simplify right side
    32,472.19x = 857,996,087.86
  5. Step 5: Solve for x
    x = 857,996,087.86/32,472.19
  6. Step 6: Final answer
    x = 26,422.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.